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Finding the Fourth Proportional to 432.25, 647.06 and 285.44

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Solution

The fourth proportional to 432.25, 647.06 and 285.44 is: 427.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.25 : 647.06 = 285.44 : x
  2. Step 2: Convert to fraction form
    432.25/647.06 = 285.44/x
  3. Step 3: Cross multiply
    432.25x = 647.06 × 285.44
  4. Step 4: Simplify right side
    432.25x = 184,692.14
  5. Step 5: Solve for x
    x = 184,692.14/432.25
  6. Step 6: Final answer
    x = 427.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.